{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jpZVKRrOLKt1"
      },
      "source": [
        "# Variable Boundary Conditions with Φ<sub>Flow</sub>\n",
        "\n",
        "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/grids/Variable_Boundaries.ipynb)\n",
        "\n",
        "This notebook demonstrates the use of variable boundary conditions, i.e. specifying different boundaries per side and spatially-varying boundary conditions.\n",
        "\n",
        "Execute the cell below to install the [Φ<sub>Flow</sub> Python package from GitHub](https://github.com/tum-pbs/PhiFlow)."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "id": "ln5JJXpHLYjT"
      },
      "outputs": [],
      "source": [
        "%pip install phiflow\n",
        "from phi.flow import *"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Xrcb5rREEEBD"
      },
      "source": [
        "## Spatially-varying Boundary\n",
        "\n",
        "Here, we want to specify a gradual inflow / outflow for the left boundary of our 2D domain, i.e. the `x-` side.\n",
        "To do this, we define a field, `inflow`, that will serve as the boundary condition for `x-`."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "id": "W3xofapMLkoA"
      },
      "outputs": [],
      "source": [
        "domain = Box(x=10, y=10)\n",
        "inflow = CenteredGrid(lambda x, y: vec(x=math.tanh((y-5)/2), y=0), ZERO_GRADIENT, domain, x=1, y=32)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bkLfuANwFjzr"
      },
      "source": [
        "We use `ZERO_GRADIENT` to make sure this inflow applies to all `x` values, not just at the domain center, x=5, where it is defined.\n",
        "Let's plot this boundary condition."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 425
        },
        "id": "FUNPcoqLFlt6",
        "outputId": "50792b3f-48af-4fa5-fbd4-55c6c9ae53aa"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<Figure size 216x288 with 1 Axes>"
            ]
          },
          "execution_count": 4,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 216x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "plot(inflow.as_points(), size=(3, 4))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FTr1BaPXFdVC"
      },
      "source": [
        "Next, we define the full domain boundary. When using a `Field` as a Dirichlet boundary condition, we need to convert it using `as_boundary()`. For the right side, we use free flow (Neumann) and for the top and bottom, we set velocity=0."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "id": "VeZgY-liClie"
      },
      "outputs": [],
      "source": [
        "boundary = {'x-': inflow.as_boundary(), 'x+': ZERO_GRADIENT, 'y': 0}"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4X31V6pBGnEV"
      },
      "source": [
        "Let's visualize the boundary on an example grid, initialized using noise."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 508
        },
        "id": "oCJq9KJiFax0",
        "outputId": "deeb5b79-e423-49e3-e7e3-1595df1ee5dc"
      },
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "c:\\ProgramData\\Anaconda3\\envs\\phiflow2\\lib\\site-packages\\phiml\\backend\\_backend.py:1632: RuntimeWarning: invalid value encountered in power\n",
            "  return base ** exp\n"
          ]
        },
        {
          "data": {
            "text/plain": [
              "<Figure size 864x360 with 2 Axes>"
            ]
          },
          "execution_count": 6,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 864x360 with 2 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "plot(CenteredGrid(Noise(vector='x,y'), boundary, domain, x=60, y=60).pad(10)['x'])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ch3KxsE9CzCT"
      },
      "source": [
        "As expected, the top and bottom values are 0 while the left side is given by our inflow condition and the right side is given by the edge velocities.\n",
        "\n",
        "Note that our boundary can be applied to fields of any resolution. It will be interpolated automatically as needed, as shown here."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LRGbBIVlHpxe"
      },
      "source": [
        "## Fluid Simulation\n",
        "\n",
        "Now, let's run an incompressible Navier-Stokes simulation for these boundary conditions.\n",
        "We define a basic operator splitting method in the next cell and perform one step.\n",
        "We now use the same resolution we defined for our boundary to avoid unnecessary interpolations."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 585
        },
        "id": "fIDSEV1MHWXr",
        "outputId": "bd3caff7-0b79-407d-98f1-641e4c1e911b"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<Figure size 864x360 with 3 Axes>"
            ]
          },
          "execution_count": 8,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 864x360 with 3 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "def step(v: Field, pressure, dt=1.):  # velocity, pressure, time increment\n",
        "    v = advect.semi_lagrangian(v, v, dt)\n",
        "    v = diffuse.explicit(v, 0.01, dt)\n",
        "    v, pressure = fluid.make_incompressible(v, solve=Solve(x0=pressure))\n",
        "    return v, pressure\n",
        "\n",
        "\n",
        "v0 = StaggeredGrid(0, boundary, domain, x=50, y=32)\n",
        "v, p = step(v0, None)\n",
        "plot({'velocity': v, 'pressure': p})"
      ]
    }
  ],
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.8.5"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}
